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Further improvement on index bounds - MaRDI portal

Further improvement on index bounds

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Publication:6385512

DOI10.1007/S10623-021-00987-0arXiv2112.06716WikidataQ114849834 ScholiaQ114849834MaRDI QIDQ6385512

Yansheng Wu, Yoonjin Lee, Qiang Wang

Publication date: 13 December 2021

Abstract: In this paper we obtain further improvement of index bounds for character sums of polynomials over finite fields. We present some examples, which show that our new bound is an improved bound compared to both the Weil bound and the index bound given by Wan and Wang. As an application, we count the number of all the solutions of some algebraic curves by using our result.












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